Boundary element methods in solid mechanics

In the current research, formulations of the displacement discontinuity method (DDM) for crack problems based on boundary element method (BEM) are proposed in finite domain. Four different boundary element methods, i.e., the conventional direct displacement boundary element method (CBEM), the hyper-singular traction direct boundary element (HBEM), the displacement discontinue indirect boundary element method (DD-IBEM), and the fictitious stress indirect boundary element method (FS-IBEM), are considered. The original two indirect boundary element methods, DD-IBEM and FS-IBEM, are unstable and may obtain inaccurate results, and a new modified method is applied to improve the accuracy. Numerical examples have been proposed to demonstrate the accuracy of the proposed methods.